Finding the Fourth Proportional to 1,164.30, 1,745.42 and 514.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.30 : 1,745.42 = 514.52 : x
2. Step 2: Convert to fraction form
   1,164.30/1,745.42 = 514.52/x
3. Step 3: Cross multiply
   1,164.30x = 1,745.42 × 514.52
4. Step 4: Simplify right side
   1,164.30x = 898,053.50
5. Step 5: Solve for x
   x = 898,053.50/1,164.30
6. Step 6: Final answer
   x = 771.32